What is the inverse of f(x)=(2x-1)/(x-3) ?

The inverse of f(x)=(2x-1)/(x-3) is (-1+3x)/(x-2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

inverse of f(x)=(2x-1)/(x-3)

inverse

f (x) = \frac{2 x - 1}{x - 3}

\frac{- 1 + 3 x}{x - 2}

Solution steps

y = \frac{2 x - 1}{x - 3}

Replace

x

with

y

x = \frac{2 y - 1}{y - 3}

Solve for

y, x = \frac{2 y - 1}{y - 3}

\frac{- 1 + 3 x}{x - 2}

f (x) = 3 x + 18

\frac{1}{x + 4}

\frac{1}{1 + e ^{\frac{1}{x}}}

f (x) = \frac{1}{2} x + 5

\frac{x - 2}{x - 1}

What is the inverse of f(x)=(2x-1)/(x-3) ?
The inverse of f(x)=(2x-1)/(x-3) is (-1+3x)/(x-2)